Finite Group Databasebeta

← Group #11868748

Character table — Group #11868748

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124444446612121212121212121212121212121212121244444412121212121212124488121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-1111111-1-1-1-111111-111-1-11111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-1111111-1-1-1-111111-1-1-1111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-11111-11-11-1-111-1-111-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-111-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-1-1-1-111111-11-111-1-1-1-11111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222002200000000-2-200000000-2-2000022-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000220000-2-222-2-2220000000000000000000000
χ192222222-1222222-12-1-1-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ202222222-1222222-12-1-1-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-122222-2-2-1-1-2-211-2-211-1-111111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
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χ242222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-1-211-2-21111-2222200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3-2-20000-1-111-1-1110000i3−i3i3−i300000000000000
χ252222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-1-211-2-21111-2-2-2-2-200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i322000011-1-111-1-10000i3−i3i3−i300000000000000
χ262222222-1-2-2-2-222-12-1-11111-122-1-1-1-1-1-211-2-21111-2-2-2-2-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i322000011-1-111-1-10000−i3i3−i3i300000000000000
χ27222222-122222-1-12-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ28222222-122222-1-12-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ29222222-122222-1-12-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-10000-2-2-1-111-2-211-2-2-1-1111111110022220000000000-2-20000-1-1-1-11111000000
χ30222222-122222-1-12-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1-10000-2-2-1-111-2-211-2-2-1-11111111100-2-2-2-200000000002200001111-1-1-1-1000000
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χ322222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2-2-22200-2-200000000-2-2000000002-20000-2-22222-2-20000000000000000000000
χ332222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-12-1-1-2-21111222-2-22-21122-1-1-2-211-1-1-1-1-1-111112-20000-1-1-1-111112-200-1-11100000000000000
χ342222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-12-1-1-2-21111222-2-2-2211-2-21122-1-1-1-11111-1-1-1-12-20000-1-1-1-11111-220011-1-100000000000000
χ352222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-12-1-1-2-211112-2-2222-21122-1-1-2-211-1-1-1-1-1-11111-2200001111-1-1-1-1-220011-1-100000000000000
χ362222-2-22-12-2-2222-12-1-11111-1-2-211-1-1-12-1-1-2-211112-2-222-2211-2-21122-1-1-1-11111-1-1-1-1-2200001111-1-1-1-12-200-1-11100000000000000
χ372222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-1-222-2-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3-220000-1-11111-1-10000−i3i3i3−i300000000000000
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χ392222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-1-2-2-222001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i32-2000011-1-1-1-1110000i3−i3−i3i300000000000000
χ402222-2-22-1-222-222-12-1-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-1-2-2-222001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i32-2000011-1-1-1-1110000−i3i3i3−i300000000000000
χ412222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-1-122111111-100002-211-1-12211-2-2-1-1-1-1-1-111110022-2-200000000002-20000-1-111-1-111000000
χ422222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-1-122111111-100002-211-1-12211-2-2-1-1-1-1-1-1111100-2-2220000000000-22000011-1-111-1-1000000
χ432222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-1-122111111-10000-221111-2-2-1-122-1-11111-1-1-1-10022-2-20000000000-220000-1-11111-1-1000000
χ442222-2-2-122-2-22-1-12-122-2-2-2-2-111-2-2-1-1-1-122111111-10000-221111-2-2-1-122-1-11111-1-1-1-100-2-22200000000002-2000011-1-1-1-111000000
χ452-2-222-22222-2-22-22-2-2-222-2-222-22-22-2-222-22-222-2-2-20000002-2000000002-2000000000000000000000000000000000000002-22-200
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χ472-2-222-222-2-2222-22-2-2-2-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-2200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ482-2-222-222-2-2222-22-2-2-2-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-220000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ492-2-222-2-12-2-222-1121-2-2-2-222-1-112-2-1111-221-111-1-1-1000000-113−3003−3001-13−33−33−33−3002i−2i2i−2i0000000000000000−ii−ii−i3i3−i3i3000000
χ502-2-222-2-12-2-222-1121-2-2-2-222-1-112-2-1111-221-111-1-1-1000000-113−3003−3001-13−33−33−33−300−2i2i−2i2i0000000000000000i−ii−ii3−i3i3−i3000000
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χ522-2-222-2-12-2-222-1121-2-2-2-222-1-112-2-1111-221-111-1-1-1000000-11−3300−33001-1−33−33−33−3300−2i2i−2i2i0000000000000000i−ii−i−i3i3−i3i3000000
χ532-2-22-22222-22-22-22-2-2-2-2-2222-22-222-2-222-2-22-2-222-2000000-22000000002-2000000000000000000000000000000000000002-2-2200
χ542-2-22-22222-22-22-22-2-2-2-2-2222-22-222-2-222-2-22-2-222-2000000-22000000002-200000000000000000000000000000000000000-222-200
χ552-2-22-2222-22-222-22-2-2-222-2-22-22-222-2-2-2-222-222-2-22000000-2200000000-2200000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ562-2-22-2222-22-222-22-2-2-222-2-22-22-222-2-2-2-222-222-2-22000000-2200000000-220000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ572-2-22-22-12-22-22-1121-2-222-2-2-11-1-22-1111-22-11-1-111-10000001-13−300−33001-13−33−3−33−33002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i3000000
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χ9988-8-800-4-400004-444-44−4343−434320000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-48000044-8-4-880000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000444-44-443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-40000444-44-4−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).